PRP Records

Probable Primes Top 10000

(252932 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
6001(29*10^79445+61)/979446Robert Price04/2015
60022^263902-19579443Lelio R Paula05/2012
60033^166499-11269679441Enzo Doria06/2014
600411^76279-276079437Enzo Doria12/2012
60056^102077-2579432Lelio R Paula03/2015
60062^263852-101779428Lelio R Paula07/2013
60072^263842-3379425Lelio R Paula05/2012
600812^73584-5579411Lelio R Paula02/2015
60092^263772-18579404Lelio R Paula05/2012
6010(15^67489+1)/1679373Paul Bourdelais03/2010
60112^263664+1501579371Lelio R Paula07/2013
601210^79362+3^7936379363Mike Oakes06/2010
6013Phi(163244,10)/2448661/685624979331Maksym Voznyy11/2015
60143^166262+4479328Lelio R Paula02/2015
60154*10^79327-6379328Robert Price12/2016
60162^263486+51379318Lelio R Paula07/2013
60172^263448-51950979306Paul Bourdelais03/2013
601869153^16384+279296Matt Stath01/2019
601921^59971-20^5997179295Robert Price05/2012
60202^263372+12379283Lelio R Paula05/2012
602117^64429+8479277Lelio R Paula03/2015
602211^76124-1143079275Enzo Doria12/2012
6023(206*10^79268-17)/979270Robert Price03/2017
602413^71157+1879265Lelio R Paula03/2015
60252^263297+6583579261Lelio R Paula07/2013
602619^61980-1879258Theodore Burton12/2005
60272*10^79242+9379243Robert Price07/2016
6028(88^40751-1)/8779238Paul Bourdelais08/2017
6029(103*29^54179-39)/479233Curtis Bright05/2015
60309^83024-83024^979226Norbert Schneider08/2017
603117^64382-2679219Lelio R Paula03/2015
60327^93733-7479214Lelio R Paula02/2015
603315^67352+3879213Lelio R Paula02/2015
60342^263135-11023579212Enzo Doria05/2014
60352^263044+425779185Lelio R Paula07/2013
60362^263032+8751779181Yves Minet11/2010
60376^101755+9579181Lelio R Paula03/2015
60384^131497-3^13149779170Jean-Louis Charton05/2004
60395*7^93674+879165Lelio R Paula10/2014
6040lucasU(486,25,29457)-5*lucasU(486,25,29456)79137Mike Oakes05/2009
6041260^32768+179^3276879134Serge Batalov03/2018
604211^75978-4279123Lelio R Paula02/2015
60438*5^113180+979111Lelio R Paula10/2014
6044(6883*2^262741-1)/483579094Lelio R Paula04/2015
6045(9*2^262745+1)/13779093Lelio R Paula10/2012
604612^73285+8579088Lelio R Paula02/2015
604719^61840+5279079Lelio R Paula03/2015
6048(10^79067+77)/379067Robert Price01/2017
6049(1017*2^262640-1)/1155779062Lelio R Paula04/2015
605010^79040+13794979041Patrick De Geest02/2016
605210^79040-100729779040Robert Price02/2015
605110^79040-7742779040Patrick De Geest02/2016
60532^262551-1729579036Lelio R Paula07/2013
60543^165597+34079010Lelio R Paula02/2015
6055(23*2^262435+1)/5579001Lelio R Paula10/2012
605611^75860-210079001Enzo Doria12/2012
60578*7^93463+978987Lelio R Paula10/2014
605867^43240-278960Lelio R Paula09/2013
60591000001^13159-1000000^1315978953Jean-Louis Charton10/2003
60602^262199-11028778930Enzo Doria05/2014
6061(19*2^262180-1)/17778924Lelio R Paula02/2014
6062(3^165403+4)/778917Lelio R Paula10/2012
60632^21068*(2^241076+1)-178914Makoto Morimoto03/2014
60642^29258*(2^232886+1)-178914Makoto Morimoto03/2014
60652^262144+1853178914Makoto Morimoto12/2015
6066(2^(2^18)+2450)/(2*3^2*137*577)78908Makoto Morimoto08/2017
6067(2^(2^18)-5719)/(3*599*3623)78907Makoto Morimoto08/2017
606814^68837+7578897Lelio R Paula02/2015
6069106^38949+10578884Norbert Schneider12/2016
6070(70^42737+1)/7178853Paul Bourdelais08/2017
6071(25*2^261917-1)/2092778842Lelio R Paula02/2014
60722^261881-185971378835Enzo Doria03/2016
60732^261874+191578832Lelio R Paula07/2013
60742^261856+9876533178827Jason Earls01/2009
6075(5*2^261857-1)/2050127778821Lelio R Paula02/2014
60762^261724+9269178787Tony Prest / Never Odd Or Even03/2014
60772^261724+28511178787Tony Prest / Never Odd Or Even04/2014
60782^261724+29371378787Tony Prest / Never Odd Or Even04/2014
6079(2^261724+381949)/578787Tony Prest / Never Odd Or Even04/2014
60802^261724+57297178787Tony Prest / Never Odd Or Even05/2014
6081(2^261724+392705)/3/778786Tony Prest / Never Odd Or Even04/2014
6082(2^261724+629709)/5/578786Tony Prest / Never Odd Or Even05/2014
6083(2^261724+67397)/3/10378785Tony Prest / Never Odd Or Even04/2014
6084(2^261724+323043)/11/10378784Tony Prest / Never Odd Or Even04/2014
6085(2^261724+370143)/128978784Tony Prest / Never Odd Or Even04/2014
6086(2^261724+560259)/5/5/7378784Tony Prest / Never Odd Or Even05/2014
6087(2^261724+64109)/3/3/3/5/5/1978783Tony Prest / Never Odd Or Even04/2014
6088(2^261724+394491)/5578778783Tony Prest / Never Odd Or Even04/2014
6089(2^261724+625897)/23/88378783Tony Prest / Never Odd Or Even05/2014
6090(2^261724+292471)/13/97/15178782Tony Prest / Never Odd Or Even04/2014
6091(2^261724+154303)/11/67/12778782Tony Prest / Never Odd Or Even04/2014
6092(2^261724+313319)/3/3/3/3/5/11/11378782Tony Prest / Never Odd Or Even04/2014
6093(2^261724+383949)/5/41/43/8378781Tony Prest / Never Odd Or Even04/2014
6094(2^261724+626567)/3/331/63178781Tony Prest / Never Odd Or Even05/2014
6095(2^261724+32987)/3/3/19/223/103178780Tony Prest / Never Odd Or Even04/2014
6096(2^261724+5813)/3/599139778780Tony Prest / Never Odd Or Even04/2014
6097(2^261724+13481)/3/11/239/208778780Tony Prest / Never Odd Or Even04/2014
6098(2^261724+103399)/5/13/37/1060778780Tony Prest / Never Odd Or Even04/2014
6099(2^261724+18477)/367/6511178780Tony Prest / Never Odd Or Even04/2014
6100(2^261724+121285)/167/227/121778780Tony Prest / Never Odd Or Even04/2014
6101(2^261724+262037)/3/3/11/23/1851778780Tony Prest / Never Odd Or Even04/2014
6102(2^261724+586157)/3/7/457/125978780Tony Prest / Never Odd Or Even05/2014
6103(2^261724+315287)/3/4582254178779Tony Prest / Never Odd Or Even04/2014
6104(2^261724+605675)/3/3/3/103/20748178779Tony Prest / Never Odd Or Even05/2014
6105(2^261724+60031)/13/31/702487778778Tony Prest / Never Odd Or Even04/2014
6106(2^261724+121879)/5/78943321778778Tony Prest / Never Odd Or Even04/2014
6107(2^261724+290135)/3/3/8467/905978778Tony Prest / Never Odd Or Even04/2014
6108(2^261724+79857)/59/3847/16533178777Tony Prest / Never Odd Or Even04/2014
6109(2^261724+22883)/3/17/23/2351/1007978777Tony Prest / Never Odd Or Even04/2014
6110(2^261724+154799)/3/5/365565371978777Tony Prest / Never Odd Or Even04/2014
6111(2^261724+391001)/3/11/17/41/43/2407178777Tony Prest / Never Odd Or Even04/2014
6112(2^261724+622383)/34843/55071778777Tony Prest / Never Odd Or Even05/2014
6113(2^261724+302829)/5/37/37/3707814778776Tony Prest / Never Odd Or Even04/2014
6114(2^261724+315837)/43/217613624378776Tony Prest / Never Odd Or Even04/2014
6115(2^261724+582373)/53/307/311/3211778776Tony Prest / Never Odd Or Even05/2014
6116(2^261724+295283)/3/3/3/29/43/1781227378775Tony Prest / Never Odd Or Even04/2014
6117(2^261724+27491)/3/22787/10597844978774Tony Prest / Never Odd Or Even04/2014
6118(2^261724+392751)/193813/28782668978774Tony Prest / Never Odd Or Even04/2014
6119(2^261724+328501)/7/1091/3149561051978773Tony Prest / Never Odd Or Even04/2014
6120(2^261724+111267)/19/4637/1514056042778772Tony Prest / Never Odd Or Even04/2014
6121(2^261724+572133)/127/131/7378775233378772Tony Prest / Never Odd Or Even05/2014
6122(2^261724+608733)/59/7079/18451/90915178771Tony Prest / Never Odd Or Even05/2014
6123(2^261724+255449)/3/3/5/7/1759/10177/3315886978770Tony Prest / Never Odd Or Even04/2014
6124(2^261724+99509)/3/5/5/6507271/674965928978769Tony Prest / Never Odd Or Even04/2014
6125(2^261724+52501)/563/53939/2794283139178769Tony Prest / Never Odd Or Even04/2014
6126(2^261724+117089)/3/5/37/149/967/2027/416374178769Tony Prest / Never Odd Or Even04/2014
6127(2^261724+372571)/1487/9209/21559/226324978769Tony Prest / Never Odd Or Even04/2014
6128(2^261724+184549)/5/8699/44053/140932299778769Tony Prest / Never Odd Or Even04/2014
6129(2^261724+363351)/937/159683/5952320022778768Tony Prest / Never Odd Or Even04/2014
6130(2^261724+326501)/3/43/193/263/19403/25350140378768Tony Prest / Never Odd Or Even04/2014
6131(2^261724+629477)/3/17/17/137/263/1993/16187/5734778768Tony Prest / Never Odd Or Even05/2014
6132(2^261724+94871)/3/3/13/6734017/167342524578778766Tony Prest / Never Odd Or Even04/2014
6133(2^261724+25981)/577/1181/3643/51778633474378766Tony Prest / Never Odd Or Even04/2014
6135(23*2^261642+1)/9378762Lelio R Paula10/2012
6134(2^261724+351227)/3/3/3/3/71/13997/9595373/819397800778762Tony Prest / Never Odd Or Even04/2014
6136(2^261724+22571)/3/7243/7321/18046081/4573074121178761Tony Prest / Never Odd Or Even04/2014
6137(2^261724+56495)/3/3/3/7/7/13/9041/512818459/2370858911978760Tony Prest / Never Odd Or Even04/2014
6138(2^261724+604119)/5/7/7/41/14107/19681/211777/90145981/103602083412778750Tony Prest / Never Odd Or Even05/2014
61392^261507-228778722Yves Minet04/2009
61408*10^78717+3978718Robert Price01/2017
6141(78557*2^261440+1)/378706Lelio R Paula06/2014
61426^101128-1643378693Enzo Doria02/2013
614320^60482+9978689Lelio R Paula03/2015
61442^261348-11063378674Enzo Doria05/2014
6145191^34487+278666Lelio R Paula05/2013
61462^261305-11013978661Enzo Doria04/2014
6147(82*10^78635-1)/978636Robert Price12/2014
614810^78632+8178633Robert Price03/2011
615010^78632-40269378632Patrick De Geest07/2013
61493*10^78631+1778632Robert Price03/2017
61512^261174-391178622Yves Minet04/2017
61522^261167+7484378620Enzo Doria04/2016
6153L(376121)+F(376122)78605Henri Lifchitz01/2007
615414^68580-2978602Lelio R Paula02/2015
6155(73*10^78576-1)/978577Robert Price01/2015
6156(17*2^261026-1)/4045178574Lelio R Paula02/2014
61572^261001-19578570Lelio R Paula05/2012
61585*2^260950+978555Lelio R Paula06/2014
61592^260931-760578549Lelio R Paula07/2013
616015^66778-3278538Lelio R Paula02/2015
6161(11*2^260896-1)/24578537Lelio R Paula02/2014
616230^53166+2978533Norbert Schneider03/2017
6163lucasU(2403,1,23229)-lucasU(2403,1,23228)78529Mike Oakes05/2009
61647*3^164574-278523Lelio R Paula06/2014
61652^260830-11213378518Enzo Doria06/2014
616613^70486+4278518Lelio R Paula03/2015
616711^75386-708078507Enzo Doria01/2013
6168(86^40583-1)/8578506Paul Bourdelais08/2017
61692^260711-5869578482Lelio R Paula07/2013
61702^260678-11106578472Enzo Doria05/2014
617118^62501-9778456Lelio R Paula02/2015
617253^45498-278452Lelio R Paula08/2013
61732^260513-11112178423Enzo Doria05/2014
617437845!2-6478412Robert Price06/2015
61752^260469-11069578409Enzo Doria05/2014
6176(11*10^78408-113)/378409Robert Price01/2017
61772^260447+841578403Lelio R Paula07/2013
617837837!2-6478394Robert Price06/2015
6179(19*2^260379-1)/5378382Lelio R Paula02/2014
61802^260377-11323378382Enzo Doria07/2014
61829^82138+6^82138-2^8213878380Mike Oakes08/2010
618169^42624+278380Lelio R Paula05/2013
61832^260369-185971378379Enzo Doria03/2016
618414*10^78362+108978364Jens K. Andersen11/2007
61855^112070-5478334Lelio R Paula02/2015
6186(10^(2*39165+1)+54*10^39165-1)/978331Robert Price04/2017
61872^260182-11345378323Enzo Doria07/2014
6188f(16405)78319Robert Price09/2017
6189(78557*2^260084+1)/51978296Lelio R Paula06/2014
619010^78288+9^(78288+1)78289Robert Price08/2016
619110^78288+3910978289Patrick De Geest12/2016
619210^78288-21629978288Patrick De Geest12/2016
61935^111997+3678283Lelio R Paula02/2015
6194(21^59183+1)/2278252Paul Bourdelais03/2010
6195(88*10^78242-7)/978243Robert Price11/2014
61962*6^100547+778242Lelio R Paula10/2014
61972^259860-11108978226Enzo Doria05/2014
619837^49875-278215Lelio R Paula09/2013
6199(13*10^78213+401)/978214Robert Price10/2017
62007*5^111893-478211Lelio R Paula10/2014
6201(11*2^259809-1)/143778209Lelio R Paula02/2014
62027^92511-678181Theodore Burton11/2005
6203(3^163859-4)/25378179Lelio R Paula10/2012
6204(27*2^259666-1)/62569178163Lelio R Paula02/2014
62053*10^78146+1778147Robert Price03/2017
6206(576^28307+1)/57778137Richard Fischer01/2018
62072^259503+7433378119Enzo Doria04/2016
6208(31*2^259504-1)/1336578116Lelio R Paula02/2014
6210(58547^16384+1)/278111Lelio R Paula11/2011
62096^100379+1378111Lelio R Paula03/2015
62112^259469-10990978108Enzo Doria04/2014
621215^66413-2678108Lelio R Paula02/2015
62137^92410-926678096Mike Oakes02/2010
62142^259398+7579978087Enzo Doria04/2016
62152^259394+187618978086Enzo Doria07/2016
6216PIPrime(78073)78073Eric W. Weisstein07/2006
62175*2^259344-778072Lelio R Paula06/2014
621814^68097-8778048Lelio R Paula02/2015
62192^259233-47557378037Paul Bourdelais03/2013
6220181^34554-278012Lelio R Paula10/2017
62213^163500-2878010Robert Price12/2013
6222(65*10^77992+691)/977993Robert Price08/2016
62232^259013-11259177971Enzo Doria06/2014
62247*10^77969-1177970Robert Price10/2017
62256^100193-100193^677966Norbert Schneider04/2017
62262^258863-11023577926Enzo Doria05/2014
62272^258852+160577923Lelio R Paula06/2013
6228(11*10^77909+49)/377910Robert Price05/2016
62292*7^92187-977908Lelio R Paula10/2014
62302^258763-11015577896Enzo Doria04/2014
62312^258694-11038777875Enzo Doria05/2014
623211^74773-9477869Lelio R Paula02/2015
62336^100067+12577868Lelio R Paula03/2015
623415^66205+877864Lelio R Paula07/2014
62355^111373-1813677847Enzo Doria05/2014
62362^258524-10987777824Enzo Doria04/2014
62376^100002-1664377817Enzo Doria02/2013
6238(13*10^77811+347)/977812Robert Price10/2017
623965^42916+2877803Lelio R Paula01/2016
6240(89*10^77781-17)/977782Robert Price11/2015
62412^258382-11040577781Enzo Doria05/2014
62425^111278-1499677780Enzo Doria02/2013
624314^67862+6177779Lelio R Paula02/2015
624410^77777+4848377778Patrick De Geest11/2010
624510^77777-18324377777Patrick De Geest11/2010
6246(27*2^258352+1)/4377772Lelio R Paula08/2012
6247337^30756-1000277740Enzo Doria07/2012
624810^77726+9977727Robert Price03/2011
624910^77726-8594777726Patrick De Geest06/2013
625089^39870-277723Lelio R Paula08/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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